{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "0fa740f1-c990-42ce-ad7c-4153acf6de13",
   "metadata": {},
   "source": [
    "Chapter 06\n",
    "# 头重脚轻的硬币\n",
    "Book_1《编程不难》 | 鸢尾花书：从加减乘除到机器学习 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "37e9ac51-7bbe-486f-8c6e-7af8bcb250b6",
   "metadata": {},
   "outputs": [],
   "source": [
    "import random\n",
    "import statistics\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "385c65d6-7484-41f6-b7d4-5821ff0e8ec4",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 抛硬币实验的次数\n",
    "num_flips = 1000\n",
    "\n",
    "# 模拟抛硬币实验，硬币头重脚轻\n",
    "# 用于存储每次抛硬币的结果\n",
    "results = [random.choices([0, 1], [0.4, 0.6])[0] \n",
    "           for _ in range(num_flips)]\n",
    "# 用于存储每次抛硬币后的均值\n",
    "running_means = [statistics.mean(results[0:idx+1]) \n",
    "                 for idx in range(num_flips)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "298b121e-6403-4738-8b0d-4ccf226687f2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    " \n",
    "# 可视化前100次结果均值随次数变化\n",
    "visual_num = 100\n",
    "plt.scatter(range(1, visual_num + 1), results[0:visual_num],\n",
    "           c=results[0:visual_num],marker=\"o\", cmap = 'cool')\n",
    "plt.plot(range(1, visual_num + 1), results[0:visual_num])\n",
    "plt.xlabel(\"Number of coin flips\")\n",
    "plt.ylabel(\"Result\")\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "1956d5d0-09ab-4841-b4be-aae9e0713e4d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可视化均值随次数变化\n",
    "plt.plot(range(1, num_flips + 1), running_means)\n",
    "plt.axhline(0.6, color = 'r')\n",
    "plt.xlabel(\"Number of coin flips\")\n",
    "plt.ylabel(\"Running Mean\")\n",
    "plt.grid(True)\n",
    "plt.ylim(0,1)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
